InterviewSolution
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InterviewSolution
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The value of `log_(381)7` lies between ______.A. `(1)/(3) and (1)/(2)`B. `(1)/(4) and (1)/(3)`C. `(1)/(5) and (1)/(4)`D. `(1)/(6) and (1)/(5)` |
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Answer» Correct Answer - B We know that `7^(3) lt 381 lt 7^(4)` `implies log_(7) 7^(3) lt log_(7) 381 lt log_(7) 7^(4)` `implies 3 lt log_(7) 381 lt 4` `implies (1)/(4) lt (1)/(log_(7) 381) lt (1)/(3)` `(1)/(4) lt log_(381) 7 lt (1)/(3) (because log_(b) a = (10)/(log_(a)b))`. |
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